Answer:
B
C
F
D
H
A
G
E
Step-by-step explanation:
Ok. They are trying to reconstruct the smaller looking triangle in the bigger triangle using angle A as the common angle.
The first statement is always the given.
Second they constructed line segment XY into the bigger triangle so that XY is parallel to BC.
Third, from the construction of the parallel lines we can now find corresponding angles that are congruent. This would be the use of F.
Since we have all three angles in triangle AXY and triangle ABC, then the construction of the smaller triangle we made inside the bigger triangle is similar to the bigger triangle. So we have the triangles are similar. You could say E or D here in my opinion. This is choice D.
Fifth the creation of those fractions of sides being equal comes from us knowing the corresponding sides of similar triangles are proportional. This is choice H.
Things looked cut off for the sixth thing so I can't fully read it, but it is possible a substitution has occured.
The seventh thing is a congruence statement which can be proven by a congruence postulate. The only one listed is SAS. So that is G.
The last thing, since the triangle construction is congruent to the smaller triangle then we know the smaller triangle is also similar to the bigger triangle since the bigger one is also similar to the construction we made. I really think E and D is interchangeable. Choice E goes here.
Answer:
6
Step-by-step explanation:
It appears you have vertical angles. The rule with angles is that no matter what, vertical angles are always congruent (or the same). This means you would have to set up the equation to solve for "b" as:
70 - 2b = 28 + 5b
You could solve this manually, but Desmos graphing calculator is faster. Simply type this in and replace b with x and it will give you the answer, which is 6. Hope this helps!
Answer:
Sam
Step-by-step explanation:
Patty: 325.75/8 = 40.72/hr
Quinn: 125.5/3 = 41.83/hr
Reece: 74.85/2 = 37.43/hr
Sam: 215.25/5 = 43.05/hr
The unit rate of the parachutist change in height is 11 feet per second.
• In Mathematics, Unitary method is a technique for solving a question by first finding the value of a single unit and then finding the required value by multiplying the number by value of single unit .
• We use unitary method to find the ratio of one thing with respect to other thing.
• There are two types of unitary method one is Direct Variation and the other is Inverse variation.
We have the rate of descend as 44 feet in 4 sec.
So, in 1 second it will be = 44 / 4 = 11 feet.
Which is the unit rate.
Therefore, the unit rate of descend for the parachutist is 11 feet per second.
Learn more about unit rate here:
brainly.com/question/19493296
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13 because decimal is 4 or below let it rest or 5 or more go up one more